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LekaFEV [45]
3 years ago
13

What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

<h2>√126</h2>

Option D is the right option.

solution,

\frac{ac}{bc}  =  \frac{bc}{dc}  \\ or \:  \frac{18}{ m}  =  \frac{m}{7}  \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \:  {m}^{2}  = 126 \\ m =  \sqrt{126}

Hope this helps..

Good luck on your assignment.

Hope

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=========================================================

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

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